Optimal bounded-error strategies for projective measurements in non-orthogonal state discrimination

Details Optimal bounded-error strategies for projective measurements in non-orthogonal state discrimination Optimal bounded-error strategies for projective measurements in non-orthogonal state discrimination

2007-08-13

arxiv.org/abs/0708.1540v2

Physics

Quantum Physics

7 pages, 4 figures, Revtex4

Scientific paper

10.1103/PhysRevA.76.062314

Research in non-orthogonal state discrimination has given rise to two conventional optimal strategies: unambiguous discrimination (UD) and minimum error (ME) discrimination. This paper explores the experimentally relevant range of measurement strategies between the two, where the rate of inconclusive results is minimized for a bounded-error rate. We first provide some constraints on the problem that apply to generalized measurements (POVMs). We then provide the theory for the optimal projective measurement (PVM) in this range. Through analytical and numerical results we investigate this family of projective, bounded-error strategies and compare it to the POVM family as well as to experimental implementation of UD using POVMs. We also discuss a possible application of these bounded-error strategies to quantum key distribution.

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